Pith Number

pith:ZXCKV7BJ

pith:2014:ZXCKV7BJYMCR7JLJTMB35YPWIX

not attested not anchored not stored refs pending

The Gardner transition in finite dimensions

Giulio Biroli, Pierfrancesco Urbani

arxiv:1410.4523 v2 · 2014-10-16 · cond-mat.dis-nn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZXCKV7BJYMCR7JLJTMB35YPWIX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:41:44.252851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc4aafc29c3051fa5699b03bee1f645c14aabc9ecd7b687277af567bcf120fb

Aliases

arxiv: 1410.4523 · arxiv_version: 1410.4523v2 · doi: 10.48550/arxiv.1410.4523 · pith_short_12: ZXCKV7BJYMCR · pith_short_16: ZXCKV7BJYMCR7JLJ · pith_short_8: ZXCKV7BJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZXCKV7BJYMCR7JLJTMB35YPWIX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cdc4aafc29c3051fa5699b03bee1f645c14aabc9ecd7b687277af567bcf120fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cb4ba5f90a312a0b9ef19446908983e425296b15c8f233ae5163476bb0fa2b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2014-10-16T18:25:09Z",
    "title_canon_sha256": "126e8efc6f396ff62f47fa40cb2706de2f1cc6068edcaa118eae1d0c151c3aac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4523",
    "kind": "arxiv",
    "version": 2
  }
}